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Two functions f and g are defined over the set of R of real numbers as follows: f:x=2x-3 g:x=xsquare+5 find f[g(x-1)]

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  1. f(x) = 2x-3
    so,
    f(g) = 2g-3
    since g = x^2+5,
    g(x-1) = (x-1)^2+5
    so,
    f(g(x-1)) = 2((x-1)^2+5)-3 = 2x^2-4x+9

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